Final answer:
In 2006, the revenue recognized is $840,000 with a gross profit of $280,000.
In 2007, the revenue recognized is $2,700,000 with a gross profit of $900,000.
Step-by-step explanation:
To calculate the revenue and gross profit to be recognized in each year using the percentage-of-completion method, we need to determine the percentage of completion for each year based on the total estimated construction costs.
- Calculate the total estimated construction costs for the project: $2.8 million.
- Determine the percentage of completion for each year by dividing the actual construction costs incurred in each year by the total estimated construction costs.
- Calculate the revenue and gross profit to be recognized in each year by multiplying the percentage of completion for that year by the contract price of $4.2 million.
In 2006, the percentage of completion is $560,000 / $2.8 million = 0.2 or 20%.
Therefore, the revenue recognized in 2006 is 20% of $4.2 million = $840,000, and the gross profit is $840,000 - $560,000 = $280,000.
In 2007, the percentage of completion is $1,800,000 / $2.8 million = 0.6429 or 64.29%.
Therefore, the revenue recognized in 2007 is 64.29% of $4.2 million = $2,700,000, and the gross profit is $2,700,000 - $1,800,000 = $900,000.
In 2008, the percentage of completion is $440,000 / $2.8 million
= 0.1571 or 15.71%.
Therefore, the revenue recognized in 2008 is 15.71% of $4.2 million = $659,220, and the gross profit is $659,220 - $440,000 = $219,220.